2016/05/31 by Bing Sun, Weizhen Jia, Sun, Bing +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Theoretical and Computational Physics #advanced mathematical theories #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1605.09622
6 pages, some parts rewritten
openalex publication_date 2016/05/31 · arxiv created 2016/06/28 · arxiv updated 2016/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We evaluate the entanglement entropy of a non-minimal coupling Einstein-scalar theory with two approaches in classical Euclidean gravity. By analysing the equation of motion, we find that the entangled surface is restricted to be a minimal surface. The entanglement entropy formula is derived directly from the approach of regularized conical singularity. On the other hand, by expressing Ricci scalar of the conical spacetime, we obtain the same result. In addition, we generalize the reduced geometric approach to Riemann tensor and its derivations.